Sharp ultimate bounds of solutions to a class of second order linear evolution equations with bounded forcing term

Aloui, F.; Haraux, A.

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Sharp ultimate bounds of solutions to a class of second order linear evolution equations with bounded forcing term

机译：带有强迫项的一类二阶线性发展方程解的尖锐极限

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摘要

We establish a precise estimate of the ultimate bound of solutions to some second order evolution equations with possibly unbounded linear damping and bounded forcing term.

机译：我们建立了某些二阶演化方程解的极限范围的精确估计，该方程可能具有无界线性阻尼和有界强迫项。

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来源
《Journal of Functional Analysis》 |2013年第10期|共22页
作者
Aloui, F.; Haraux, A.;
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原文格式 PDF
正文语种 eng
中图分类 51;
关键词
Bounded forcing term; Second order equation; Ultimate boundedness;

机译：有界强迫项;二阶方程;极限有界;

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专利

1. Sharp ultimate bounds of solutions to a class of second order linear evolution equations with bounded forcing term [J] . Aloui, F., Haraux, A. Journal of Functional Analysis . 2013,第10期

机译：带有强迫项的一类二阶线性发展方程解的尖锐极限
2. Sharpness on the Lower Bound of the Lifespan of Solutions to Nonlinear Wave Equations [J] . Yi ZHOU, Wei HAN 数学年刊：B辑英文版 . 2011,第004期

机译：非线性波动方程解的寿命下界的清晰度
3. Sharpness on the Lower Bound of the Lifespan of Solutions to Nonlinear Wave Equations [J] . Yi ZHOU, Wei HAN 数学年刊B辑（英文版） . 2011,第004期

机译：非线性波动方程解的寿命下界的清晰度
4. Bounded Exact Solutions for Klein-Gordon Equations with Five Orders Nonlinear Terms [C] . Liu Gang, Teng Yufa, Hao Jianzhong 2010 International Conference on System Science, Engineering Design and Manufacturing Informatization . 2010

机译：具有五阶非线性项的Klein-Gordon方程的有界精确解
5. Normalized p-laplacian evolution: boundary behavior of non-negative solutions of fully nonlinear parabolic equations: Gradient bounds for p-harmonic systems with vanishing neumann (dirichlet) data in a convex domain. [D] . Banerjee, Agnid. 2014

机译：归一化的p-拉普拉斯演化：完全非线性抛物方程的非负解的边界行为：具有在凸域中消失的Neumann（dirichlet）数据的p调和系统的梯度界。
6. Lower bounds for the life-span of solutions of nonlinear wave equations in three dimensions [O] . Fritz John 1982

机译：三维非线性波动方程解寿命的下界
7. Sharp ultimate bounds of solutions to a class of second order linear evolution equations with bounded forcing term [O] . Aloui, Faouzia, Haraux, Alain 2012

机译：带有强迫项的一类二阶线性发展方程解的尖锐极限
8. Smoothness of Bounded Solutions of Nonlinear Evolution Equations. [R] . Hale, J. K., Scheurle, J. 1983

机译：非线性发展方程有界解的光滑性。

Sharp ultimate bounds of solutions to a class of second order linear evolution equations with bounded forcing term

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